Properties

Label 56350bu
Number of curves $1$
Conductor $56350$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bu1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 56350bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56350.bs1 56350bu1 \([1, -1, 1, 328070, -1458388053]\) \(84972077055/20040095362\) \(-920975460642163281250\) \([]\) \(1935360\) \(2.7019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56350bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56350bu do not have complex multiplication.

Modular form 56350.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{8} - 3q^{9} + 4q^{11} + 3q^{13} + q^{16} + q^{17} - 3q^{18} + O(q^{20})\)  Toggle raw display